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1021434213312 = 26323157203977
BaseRepresentation
bin11101101110100100011…
…10010011001111000000
310121122111111200021112100
432313102032103033000
5113213344124311222
62101123532030400
7133540043362602
oct16672216231700
93548444607470
101021434213312
11364207a91677
12145b64302400
1375422b408b6
143761adc9172
151b8833844ac
hexedd23933c0

1021434213312 has 84 divisors (see below), whose sum is σ = 3022200565696. Its totient is φ = 329494901760.

The previous prime is 1021434213299. The next prime is 1021434213391. The reversal of 1021434213312 is 2133124341201.

1021434213312 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 342 + 1 + 3 + 312 = 666.

1021434213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28584133 + ... + 28619844.

Almost surely, 21021434213312 is an apocalyptic number.

1021434213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021434213312 is an abundant number, since it is smaller than the sum of its proper divisors (2000766352384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021434213312 is a wasteful number, since it uses less digits than its factorization.

1021434213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57204026 (or 57204013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1021434213312 its reverse (2133124341201), we get a palindrome (3154558554513).

The spelling of 1021434213312 in words is "one trillion, twenty-one billion, four hundred thirty-four million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 57203977 114407954 171611931 228815908 343223862 457631816 514835793 686447724 915263632 1029671586 1372895448 1773323287 1830527264 2059343172 2745790896 3546646574 3661054528 4118686344 5319969861 5491581792 7093293148 8237372688 10639939722 10983163584 14186586296 15959909583 16474745376 21279879444 28373172592 31919819166 32949490752 42559758888 56746345184 63839638332 85119517776 113492690368 127679276664 170239035552 255358553328 340478071104 510717106656 1021434213312